After the quotient and the resolution, one can observe that the varieties obtained will have the Calabi-Yau property. For details, see [1]} or [2]}. As we have stated in the introduction, our framework will include two distinct rational curves \(C_{\pm }\subset X_\psi \)  defined in the next section. Besides being rational, these curves are homologous as cycles in \(H_2(X,Z)\) . We are going to consider the relative algebraic de Rham cohomology of the pair \((X_\psi , C_+\cup C_-)\) . In order to do this, we recall the definition for the relative algebraic de Rham cohomology in general, which is a generalization of the original definition from [3]}.
